Hi,

it's perfectly fine for a general FE shape functions to be negative at some 
points, that's clearly the case for quadratic
http://hplgit.github.io/INF5620/doc/pub/sphinx-fem/._main_fem003.html#fem-approx-fe-fig-p2
 

Denis.

On Saturday, May 5, 2018 at 3:11:24 AM UTC+2, Zhao Yidong wrote:
>
> Hi everyone!
> I use fe, which is FESystem class, but I find fe.shape_value( const 
> unsigned int i, const Point< dim > & p ) (the document is here: 
> https://www.dealii.org/8.5.0/doxygen/deal.II/classFE__Poly.html#a8c769a449d25d54e756fc67cca5dd30b)
>  
> sometimes returns a negative number which seems not right.
>
> The Point I send into the function locates in the reference space ( [-1, 
> 1]x[-1, 1] ), I also try the Point in the real space, but also get negative 
> numbers sometimes.
>
> Thanks any response!
>

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